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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 542RE (page 854)

In the following exercises, solve $\sqrt[3]{4 x + 5} - 2 = - 5$

Short Answer

Expert verified

Solution is $x = - 8$

Step by step solution

01

Given information

Solve $\sqrt[3]{4 x + 5} - 2 = - 5$

02

Solution

We have

$\sqrt[3]{4 x + 5} - 2 = - 5 \sqrt[3]{4 x + 5} = - 3 4 x + 5 = {(- 3)}^{3} 4 x = - 27 - 5 x = \frac{- 32}{4} x = - 8$

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Most popular questions from this chapter

Use the Quotient Property to simplify square roots.

(a) $\sqrt{\frac{50 r^{5} s^{2}}{128 r^{2} s^{6}}}$

(b) $\sqrt[3]{\frac{24 m^{9} n^{7}}{375 m^{4} n}}$

(c) $\sqrt[4]{\frac{81 m^{2} n^{8}}{256 m n^{2}}}$

In the following exercises, use the Product Property to simplify radical expressions $\sqrt{147}$

Simplify:

a. $\frac{m^{\frac{2}{3}} \cdot m^{\frac{- 1}{3}}}{m^{\frac{- 5}{3}}}$ b. ${(\frac{25 m^{\frac{1}{6}} n^{\frac{11}{6}}}{m^{\frac{2}{3}} n^{\frac{- 1}{6}}})}^{\frac{1}{2}}$

Use the Quotient Property to simplify square roots.

(a) $\frac{\sqrt{45 p^{9}}}{\sqrt{5 q^{2}}}$

(b) $\frac{\sqrt[4]{64}}{\sqrt[4]{2}}$

(c) $\frac{\sqrt[5]{128 x^{8}}}{\sqrt[5]{2 x^{2}}}$

Use the Quotient Property to simplify square roots.

(a) $\sqrt{\frac{75 r^{6} s^{8}}{48 r s^{4}}}$

(b) $\sqrt[3]{\frac{24 x^{8} y 4}{81 x^{2} y}}$

(c) $\sqrt[4]{\frac{32 m^{9} n^{2}}{162 m n^{2}}}$

See all solutions

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